Examples and exercises are provided in a sequential approach designed to familiarize the student with percents, fractions, and ratios. Key words used in the workbook are identified first, followed by exercises focusing on 14 learning objectives: (1) identifying the whole as 100%; (2) expressing a part of 100 as a ratio; (3) changing a fraction in hundredths to a percent and vice versa; (4) renaming a fraction to an equivalent fraction in hundredths; (5) determining the percent of a part of a...

Topics: ERIC Archive, Community Colleges, Mathematics Education, Percentage, Ratios (Mathematics), Two Year...

A method of interpolation has been derived that should be superior to linear interpolation in computing the percentile ranks of test scores for unimodal score distributions. The superiority of the logistic interpolation over the linear interpolation is most noticeable for distributions consisting of only a small number of score intervals (say fewer than 10), particularly distributions that are relatively unskewed. Logistic interpolation thus should be useful in practical situations in which...

Topics: ERIC Archive, Comparative Analysis, Intervals, Mathematical Models, Percentage, Scores, Scoring...

This programed mathematics textbook (Volume II) is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on these mathematics competencies. After completion of this program the student should be able to: (1) convert to a percentage from a fraction of...

Topics: ERIC Archive, Arithmetic, Fractions, Percentage, Programed Instructional Materials, Textbooks,...

This study examined adult students' informal knowledge of percent and its relationship to their computational skills. Sixty adults studying in urban and suburban adult education programs were interviewed to ascertain: (1) their ideas of the meanings of benchmark percents, 100%, 50%, and 25%, as they appear in advertising and media contexts; (2) their ability to use these percents in everyday mental math tasks; and (3) their visual representations of these percents. Students also completed...

Topics: ERIC Archive, Adult Basic Education, Adult Learning, Cognitive Structures, Computation, Interviews,...

This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on these mathematics competencies. After completion of this program the student should be able to: (1) convert to a percentage from a fraction of the form...

Topics: ERIC Archive, Arithmetic, Fractions, Percentage, Programed Instructional Materials, Textbooks,...

Two high school general mathematics classrooms were differentially taught a unit on percents, one with a cooperative and the other with an individualistic goal structure. A pre-post-test design with a three-way ANOVA analysis of treatment by time within subjects was used. Neither group was found to be significantly different from the other on the pre-test. Although both groups obtained significant gains on their post-test scores as contrasted with their pre-test scores, the cooperatively goal...

Topics: ERIC Archive, Educational Research, Goal Orientation, Grouping (Instructional Purposes), High...

Two tables are presented showing the Idaho percentile norms on Form L of the Differential Aptitude Tests administered to students in Grade 9. (CK)

Topics: ERIC Archive, Aptitude Tests, Females, Grade 9, Males, Percentage, State Surveys, Tables (Data),...

This is part one of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include number line and coordinates, equations, scientific notation, applications of percent, and congruence and the Pythagorean property. Slight revisions are contained in a later edition. (MP)

Topics: ERIC Archive, Congruence, Curriculum, Geometry, Instruction, Mathematical Applications, Mathematics...

These materials are designed to be used as a tool to in-service school personnel who may wish to improve achievement levels on the mathematics objectives as measured by the Michigan Education Assessment Program (MEAP). Four areas of mathematics instruction (fractions, decimals, ratio and proportion, and percent) have been addressed in these materials. These areas were selected because of the low attainment rates exhibited on the 7th and 10th grade MEAP. The materials were prepared to assist...

Topics: ERIC Archive, Achievement, Decimal Fractions, Educational Assessment, Fractions, Inservice...

These worksheets relate to the 1973-74 official North Carolina Department of Transportation Highway Map. Topics covered include: map reading, fractions, percentage, estimating, charts, and rounding. An answer key is included. (MP)

Topics: ERIC Archive, Charts, Fractions, Instruction, Instructional Materials, Map Skills, Mathematical...

A study examined 60 adult students' informal knowledge of percent and its relationship to their formal computational skills. The students studying in adult education programs were interviewed to ascertain the following: (1) their ideas of the meanings of three benchmark percentages--100, 50, and 25 percent--as they appear in advertising and media contexts; (2) their ability to use these numbers in everyday mental math tasks; and (3) their visual representations of these quantities. Students...

Topics: ERIC Archive, Adult Basic Education, Computation, Educational Research, Mathematical Concepts,...

This paper reports a study of student knowledge of percent at the elementary, middle, and secondary levels. The study concentrated on three areas: (1) an analysis of the percent concept, its symbols, and procedures; (2) the child's naturally constructed base of informal knowledge of the percent concept; and (3) what formal knowledge develops in terms of concepts and procedures as a result of traditional instruction. A written test containing a variety of questions to indicate informal and...

Topics: ERIC Archive, Elementary School Students, Grade 5, Informal Education, Intermediate Grades,...

The purpose of this study was to design a unit on percent for adult remedial students based on the principles of Piaget's theory and to evaluate the effectiveness of the unit as a means of improving one characteristic of formal operations, the ability to use porportion. The subjects consisted of 89 undergraduate remedial mathematics students at a branch of the City University of New York. Results indicate that there seems to be a relationship between learning percent and improving the ability...

Topics: ERIC Archive, Cognitive Development, College Mathematics, Developmental Stages, Higher Education,...

This technical project report provides the National Science Foundation with information regarding the substantive achievements of the Social Science Education Consortium's project QUESST (Quantitative Understanding To Enhance Social Science Teaching). The report begins with a discussion of materials development and project publicity. Thirty-three quantitatively oriented social science learning modules were developed for use in grades 7-12. Through a wide variety of teaching methods, the...

Topics: ERIC Archive, Classification, Correlation, Graphs, Interdisciplinary Approach, Mathematics,...

This book contains the eighth and ninth chapters of a pilot mathematics sequence for the seventh and eighth grades. The content of the sequence is to serve as a vehicle for the development of relevant computational skills, mathematical reasoning, and geometric perception in three dimensions and is to reflect the application of mathematics to the social and natural sciences. The material is divided into five types of sections: (1) activities; (2) short reading sections; (3) questions; (4)...

Topics: ERIC Archive, Activity Units, Curriculum, Instructional Materials, Junior High Schools, Mathematics...

This curriculum guide, designed for use with secondary migrant students, presents mathematics activities in the areas of whole numbers, fractions, decimals, percent, measurement, geometry, probability and statistics, and sets. Within the categories of whole numbers, fractions, and decimals are activities using addition, subtraction, multiplication, division, applications, equivalent fractions, LCM and GCF, and conversions. Skills in the percent category involve conversions, calculations, and...

Topics: ERIC Archive, Curriculum Guides, Decimal Fractions, Educational Games, Fractions, Geometry,...

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for each topic area and guided to materials written for a given topic. Three short criterion tests are included for each topic covered. Work in this...

Topics: ERIC Archive, Decimal Fractions, Fractions, Grade 9, Individualized Instruction, Instructional...

This instructor's guide contains materials for a 20-30 hour course designed to address essential math skills in the workplace. The course description lists target audience, general objective, and typical results observed. The next section gives instructors basic information related to providing successful educational programs in a workplace setting, an instructor's lexicon of strategies and principles that can be used in teaching, instructor's role and responsibilities, and course objectives....

Topics: ERIC Archive, Adult Basic Education, Arithmetic, Basic Skills, Decimal Fractions, Instructional...

This is part one of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include number line and coordinates, equations, scientific notation, applications of percent, and congruence and the Pythagorean property. (RH)

Topics: ERIC Archive, Bilingual Education, Geometry, Instructional Materials, Mathematics Curriculum,...

This learning module reviews basic mathematics operations involving fractions and decimals and explains the use of the percent wheel in solving percent problems. The module, which was developed for use in a course of six 2-hour sessions for hospital employees working in the environmental services and nutritional services departments, is intended to enhance basic math skills and develop reasoning and problem-solving skills. It consists of a series of session outlines and activities in which...

Topics: ERIC Archive, Adult Basic Education, Behavioral Objectives, Computation, Estimation (Mathematics),...

This workbook is designed as an easy-to-read, slower-paced mathematics text for students who have learning, reading, and language problems. Helping students fulfill mathematics requirements for graduation is a goal; the book can be used as the core or supplement to the mathematics curriculum in mainstreamed or special education classrooms, in mathematics laboratories, or as part of sheltered workshop and vocational training programs. Basic concepts and skills about decimals and percents,...

Topics: ERIC Archive, Decimal Fractions, Elementary School Mathematics, Elementary Secondary Education,...

These instructional materials were produced as part of the project, Developing Computational Estimation Materials for the Middle Grades. The introduction to these seventh grade materials covers the following: why teach estimation; how the materials were developed; and how the lessons are organized. The 15 lessons that follow are designed to teach such estimation strategies as front-end estimation, compatible numbers, clustering, and rounding in lessons with whole numbers, fractions, mixed...

Topics: ERIC Archive, Computation, Decimal Fractions, Estimation (Mathematics), Fractions, Grade 7,...

This combination workbook and testbook on mathematics is one in a series of 20 individually bound units of instruction for carpentry apprenticeship classes. Three diagnostic tests and suggestions for their administration are included to identify areas in which the apprentice may need work and study. The 12 topics covered are whole numbers; fractions; decimals; percents; conversion of units; compound numbers; decimal and fractional equivalents; perimeters, areas, and volumes; squares and square...

Topics: ERIC Archive, Apprenticeships, Building Trades, Carpentry, Decimal Fractions, Fractions, Learning...

This book is a teacher development tool presenting information to help facilitate discussions of the cases found in a companion book. The introduction discusses the values of case-based instruction, organizing a case discussion group, introducing participants to case discussions, preparing for a case discussion, discussing a case, anticipating and addressing pitfalls, and closing and assessing the discussion. Following the introduction is the main section of the book, which contains facilitator...

Topics: ERIC Archive, Case Method (Teaching Technique), Case Studies, Decimal Fractions, Discussion...

Many have argued for the importance of numeracy, yet little is known about the opportunities for numeracy available to people in their daily lives. In this study, characteristics of rational numbers in magazines written for children, teenagers, and adults were analyzed and compared. Analysis indicated that difficult mathematical concepts that appear in the media such as fractions, percents, and averages are much more prevalent in adults' magazines than in those written for children and...

Topics: ERIC Archive, Adolescents, Adults, Children, Content Analysis, Decimal Fractions, Elementary...

Adults who lived in 30 of the nation's large standard metropolitan statistical areas (SMSA's) in 1970 had completed a relatively high educational attainment; about 61 percent had completed at least a high school education, including 26 percent who had completed one or more years of college. The data in this report on the educational attainment of the population 25 years old and over are based on the annual average of the 1970 monthly statistics on years of school completed collected in the...

Topics: ERIC Archive, Academic Achievement, Adult Learning, Blacks, Census Figures, Metropolitan Areas,...

This is the teacher's guide to an easy-to-read, slower paced mathematics text designed for students who have learning, reading, and language problems. Basic concepts and skills about decimals and percents, including computation with decimals and using proportions to solve percent problems, are presented. All 10 units begin with a brief discussion of how decimals or percents are used in real life. Lessons teach only one major concept on each page, and include comprehension exercises. Sixty-five...

Topics: ERIC Archive, Answer Keys, Decimal Fractions, Elementary School Mathematics, Elementary Secondary...

This companion document to the instructor's guide for a course designed to prepare employees for statistical process control (SPC) training given at their workplace by refreshing math skills and building the concepts and vocabulary necessary to understand SPC in manufacturing environments. SPC-Prep 1 addresses the math skills necessary to perform SPC calculations. The manual provides materials on these topics: math memories; keeping track of learning; math operations; place value; rounding off...

Topics: ERIC Archive, Adult Basic Education, Arithmetic, Basic Skills, Decimal Fractions, Instructional...

Texas, California, and Florida are implementing versions of a percent plan in college admissions. This report assesses these plans using data from published information on the plans; state- and institution-calculated higher education application, admission, and enrollment data; media accounts of social and political contexts surrounding the plans; and interviews with key administrators at several flagship institutions. The report describes the public university systems, outlines the history of...

Topics: ERIC Archive, Access to Education, Affirmative Action, College Admission, Competitive Selection,...

The first of four quins intended to develop computational skills with non-negative rational numbers through applications to business and industry, this guidebook on minimum course content is designed for the student who has acquired basic computational skills with non-negative rational numbers. Overall course goals are specified, a course outline is provided, and performance objectives are listed. Included is a set of sample test items for skills and a list of resources. (JP)

Topics: ERIC Archive, Behavioral Objectives, Computation, Curriculum, Decimal Fractions, Fractions,...

This collection of lesson plans and activities for students aged 9-11 years is based on a science curriculum developed by a group of Caribbean nations. The activities pertain to topics such as place value, prime and composite numbers, the sieve of Eratosthenes, square numbers, factors and multiples, sequences, averages, geometry, symmetry, tessellations, ominoes, measurement, capacity and mass, metric mass, time, money, fractions, decimals, percentage and ratio, graphs, and problem solving. The...

Topics: ERIC Archive, Arithmetic, Decimal Fractions, Educational Strategies, Elementary Secondary...

A study examined the effects of manipulating the representation and organizational features of mathematical problems on students' abilities to solve them. Subjects for the study were 238 high school students who had demonstrated ability in computing percentages in a nonproblem solving format. The data analyzed in the study were student responses to test items varying in their representational (diagrammatic versus verbal) and organizational (pertinent versus extraneous) features. It was found...

Topics: ERIC Archive, Content Area Reading, Difficulty Level, High School Students, Mathematical Concepts,...

This instructional unit focuses on writing ratios and proportions in problem situations, solutions by means of proportions, and determination of percentages. A number of experiments are suggested and worksheets and discussion questions are included. The activities are oriented toward situations in which the students would probably have had some previous experience. A teacher's guide is also available. Related documents are SE 015 334, SE 015 335, and SE 015 337 through SE 015 347. This work was...

Topics: ERIC Archive, Curriculum, Instruction, Instructional Materials, Low Ability Students, Mathematics...

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for each topic area and guided to materials written for a given topic. Three short criterion tests are included for each topic covered. The work in this...

Topics: ERIC Archive, Fractions, Grade 9, Individualized Instruction, Instructional Materials, Number...

Students make errors in mathematics for a variety of reasons. It is the job of the educator to identify the source of these errors and to assist students in correcting them. The purpose of this monograph is to help identify, analyze, and evaluate students' computational proficiency. This monograph is divided into four sections: "Whole Numbers"; "Fractions"; "Decimals"; and "Percents." Each section is arranged according to specific computational skills....

Topics: ERIC Archive, Arithmetic, Computation, Decimal Fractions, Elementary School Mathematics, Error...

This guide to accompany "Activities with Ratio and Proportion," contains all of the student materials in SE 015 336 plus supplemental teacher materials. It includes a listing of terminal objectives, necessary equipment and teaching aids, and resource materials. Answers are given to all problems and suggested approaches and activities are presented for each section. Related documents are SE 015 334 through SE 015 336 and SE 015 338 through SE 015 347. This work was prepared under an...

Topics: ERIC Archive, Curriculum, Instruction, Instructional Materials, Low Ability Students, Mathematics...

This book presents teacher-written cases relating stories, insights, and experiences about the teaching of fractions, decimals, ratios, and percents. The cases were written to stimulate colleagues to examine their own practice, to think hard about the mathematics they teach and would like to teach, and to initiate inquiries and discussions that lead teachers to a deeper understanding of student thinking and the kinds of strategies that would promote further learning. The typical case reports a...

Topics: ERIC Archive, Case Studies, Decimal Fractions, Elementary Secondary Education, Fractions,...

This booklet presents data on years of schooling completed by individuals in the United States who are 14 years old and older. Data are based on the results of the Current Population Survey (CPS) conducted by the Bureau of the Census in March 1978 and 1979. Data are presented in tabular and narrative form. Characteristics considered in the survey included age, sex, race, Spanish origin, type of residence, region of residence, and occupation. Findings indicated that 68 percent of persons 25...

Topics: ERIC Archive, Academic Achievement, Census Figures, Cohort Analysis, Demography, Educational...

These instructional materials were produced as part of the project, Developing Computational Estimation Materials for the Middle Grades. The introduction to these eighth grade materials covers the following: why teach estimation; how the materials were developed; and how the lessons are organized. The 15 lessons that follow are designed to teach such estimation strategies as front-end estimation, compatible numbers, clustering, and rounding in lessons with whole numbers, fractions, mixed...

Topics: ERIC Archive, Computation, Decimal Fractions, Estimation (Mathematics), Fractions, Grade 8,...

This guide contains a collection of alternative techniques for teaching arithmetic that have proved useful in teaching both children and adults with various learning problems. Discussed first are several underlying principles of instructing individuals with learning disabilities, problems, and differences and special accommodations for learning-disabled students, including the use of graph paper and calculators. The remainder of the guide consists of sections of alternative instructional...

Topics: ERIC Archive, Adult Basic Education, Arithmetic, Classroom Techniques, Elementary Secondary...

Presented are student performance objectives, a student progress chart, and assignment sheets with objective and diagnostic measures for the stated performance objectives in college arithmetic and pre-algebra. Topics covered include: sets, whole numbers, integers, decimal fractions, fractions, ratio and proportion, percent, powers and roots, the Pythagorean theorem, measurement, and open sentences. (MK)

Topics: ERIC Archive, Arithmetic, College Mathematics, Criterion Referenced Tests, Decimal Fractions,...

Employee and facilitator manuals are provided for two courses developed for a workplace literacy program: Mathematics on the Job I and II. Each 10-session course begins with a preassessment and ends with a postassessment. Components of each 2-hour session are objectives, informational materials, and problems or exercises. The facilitator copies include the answer keys. Topics covered in the first course include the following: read and write whole numbers; add and subtract whole numbers; solve...

Topics: ERIC Archive, Adult Basic Education, Adult Literacy, Arithmetic, Behavioral Objectives, Curriculum...

This curriculum package on math for textile technicians has been developed by the Workforce 2000 Partnership, a network of industries and educational institutions provides training in communication, computation, and creative thinking to employees and supervisors in textile, apparel, and carpet industries at 15 plants in Alabama, Georgia, and South Carolina. The curriculum guide provides a quick view of all major curriculum components: job title for which the curriculum was developed; general...

Topics: ERIC Archive, Adult Education, Arithmetic, Behavioral Objectives, Curriculum Guides, Fractions,...

This packet of 11 learning modules on trade math is 1 of 6 such packets developed for apprenticeship training for millwrights. Introductory materials are a complete listing of all available modules and a supplementary reference list. Each module contains some or all of these components: goal, performance indicators, study guide (a check list of steps the student should complete), a vocabulary list, an introduction, information sheets, assignment sheet, job sheet, self-assessment,...

Topics: ERIC Archive, Apprenticeships, Arithmetic, Behavioral Objectives, Geometric Concepts,...

The second of four quins intended to develop computational skills with non-negative rational numbers through applications to business and industry, this guidebook on minimum course content is designed for the student who has acquired basic computational skills with non-negative rational numbers. Overall course goals are specified, a course outline is provided, and performance objectives are listed. Included is a set of sample test items for skills and a list of resources. (JP)

Topics: ERIC Archive, Behavioral Objectives, Computation, Curriculum, Decimal Fractions, Fractions,...

This is part two of a two-part School Mathematics Study Group (SMSG) textbook. The text serves as a means to prepare teachers to teach the SMSG text "Mathematics for Junior High School." The eight chapters found in part two are: (1) Primes and Factors; (2) Decimals, Ratios, and Percents; (3) The Real Number System; (4) Non-Metric Geometry, I; (5) Non-Metric Geometry, II; (6) Measurement; (7) Perimeters, Areas, Volumes; and (8) Descriptive Statistics and Probability. (MK)

Topics: ERIC Archive, Decimal Fractions, Geometric Concepts, Junior High Schools, Mathematics Education,...

This report summarizes a project to develop computational estimation materials for students in grades 6, 7, and 8. In chapter 1, the need for estimation skills is discussed and the goals of the project are stated: to develop a carefully sequenced set of lessons, activities, and maintenance work on estimation with whole numbers, fractions, decimals, and percent; to implement the program in grades 6, 7, and 8; and to evaluate the effects of the program on achievement in terms of skill in...

Topics: ERIC Archive, Computation, Curriculum Development, Curriculum Evaluation, Decimal Fractions,...

This instructor's guide contains materials for a course designed to prepare employees for statistical process control (SPC) training given at their workplace by refreshing math skills and building the concepts and vocabulary necessary to understand SPC in manufacturing environments. SPC-Prep 1 addresses the math skills necessary to perform SPC calculations. SPC-Prep 2 includes application of the math concepts in SPC situations and the building a base of vocabulary and major concepts for actual...

Topics: ERIC Archive, Adult Basic Education, Arithmetic, Basic Skills, Decimal Fractions, Instructional...

This curriculum guide was developed to help literacy practitioners present an eight-lesson workplace literacy course for hospital workers who assist patients in completing their daily menus. Presented in the introduction are the following: overview of the curriculum development project, project activity schedule, course overview, and course time outlines. A section of preclass orientation activities, including a preliminary attitude survey for dietetic representatives, is provided. The next...

Topics: ERIC Archive, Adult Basic Education, Adult Literacy, Attitude Measures, Behavioral Objectives,...

Audiovisual directors representing 70% of the New York State public school population completed a questionnaire on the status and anticipated growth of their educational communications programs. School districts were ranked on staff, budgets, and audiovisual equipment by means of percentiles to facilitate statewide comparisons of program development. Estimations of additional staff, equipment, materials, and funds required to provide an adequate program yielded an average recommended increase...

Topics: ERIC Archive, Audiovisual Aids, Audiovisual Coordinators, Audiovisual Instruction, Comparative...